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412041420 = 223257327017
BaseRepresentation
bin11000100011110…
…100000011001100
31001201022212120100
4120203310003030
51320440311140
6104515251100
713132202640
oct3043640314
91051285510
10412041420
111a164a8aa
12b5ba9a90
13674993bb
143ca1ac20
1526291530
hex188f40cc

412041420 has 72 divisors (see below), whose sum is σ = 1428414624. Its totient is φ = 94180608.

The previous prime is 412041347. The next prime is 412041439. The reversal of 412041420 is 24140214.

412041420 is a `hidden beast` number, since 41 + 204 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412041393 and 412041402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162249 + ... + 164768.

It is an arithmetic number, because the mean of its divisors is an integer number (19839092).

Almost surely, 2412041420 is an apocalyptic number.

It is an amenable number.

412041420 is an abundant number, since it is smaller than the sum of its proper divisors (1016373204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412041420 is a wasteful number, since it uses less digits than its factorization.

412041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327039 (or 327034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412041420 is about 20298.8034130093. The cubic root of 412041420 is about 744.1268210796.

Adding to 412041420 its reverse (24140214), we get a palindrome (436181634).

It can be divided in two parts, 41204 and 1420, that added together give a palindrome (42624).

The spelling of 412041420 in words is "four hundred twelve million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 327017 654034 981051 1308068 1635085 1962102 2289119 2943153 3270170 3924204 4578238 4905255 5886306 6540340 6867357 9156476 9810510 11445595 11772612 13734714 14715765 19621020 20602071 22891190 27469428 29431530 34336785 41204142 45782380 58863060 68673570 82408284 103010355 137347140 206020710 412041420